Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 66 for “"Vector spaces."”.
-
On the theory of Boolean vector spaces
"The concept of a (abstract) Boolean vector space is due to Subrahmanyam [6]1. In introducing this concept, Subrahmanyam was motivated by Foster [1] who demonstrated that each element of a p-ring R (with unity) can be represented as a type of "Boolean vector" over the Boolean algebra of all the …
-
SIMPLE TWO-SIDED RATIONAL VECTOR SPACES OF RANK TWO
… symmetric algebras over a two-sided vector space. After reviewing the definition of a two-sided vector space and giving some examples, we briefly recall the theory of simple two-sided vector spaces. We then assume k is a field of characteristic zero and t is transcendental over k and …
-
SIMPLE TWO-SIDED RATIONAL VECTOR SPACES OF RANK TWO
… symmetric algebras over a two-sided vector space. After reviewing the definition of a two-sided vector space and giving some examples, we briefly recall the theory of simple two-sided vector spaces. We then assume k is a field of characteristic zero and t is transcendental over k and …
-
Invariant Subspace Problem and Spectral Properties of Bounded Linear Operators on Banach Spaces, Banach Lattices, and Topological Vector Spaces
… finite spectral radii on a locally convex-solid vector lattice, T is locally quasinilpotent at a positive vector, and S dominates a positive compact operator, then S and T have a common closed non-trivial invariant subspace.
-
An exploration of near-vector space theory
There have been several definitions of near-vector spaces in the literature. In this thesis, we adopt the definition introduced by J. André. Although many properties of near-vector spaces have been established in the literature, this thesis provides algebraic proofs of several key results. One such …
-
Grothendieck Semirings and Definable Endofunctions
… group, as well as the one of any infinite vector space over any division ring, is isomorphic to the semiring of nonnegative polynomials over the integers. A natural ordering on the semiring is related to an interesting property that definable endofunctions can have, namely, being surjective …
-
Beyond orthogonal calculus: the unitary and real cases
… a unitary version which considers complex vector spaces, and a calculus with reality, an extension of the unitary calculus which takes into account the complex conjugation action on the complex vector spaces. These calculi produce Taylor towers approximating a functor, and we show through a …
-
A Presentation of Current Research on Partitions of Lines and Space
… from three papers concerning partitions of vector spaces V over the set R of reals and of the set of lines in V.
-
A Study of Modifications to Quantum Mechanics
… and ones in which the space of states used are vector spaces over Galois fields instead of complex Hilbert spaces. The particular deformation of the canonical commutation relations used leads to a minimum value of the uncertainty in position which is interpreted as a minimum length scale. Both …
-
A 2-categorical extension of the Reshetikhin--Turaev theory
… bicategory will be the Kapranov-Voevodsky 2-vector spaces.</p>
-
Effective multiple mixing in Weyl chamber actions
… products of semisimple groups with $G$-vector spaces. Using these estimates we get decay for corresponding actions in some semisimple groups of higher rank and homogeneous spaces of semidirect products of real algebraic groups.
-
Extensions of the Cayley-Hamilton Theorem with Applications to Elliptic Operators and Frames.
… linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class resolvent over a separable Hilbert space. Applications of these …
-
Fixed Points and Coincidences
… abstract convex structures on topological spaces. In Chapter 3 we provide theorems extending the well-known fixed point theorems for multivalued maps on topological vector spaces, as well as some selection theorems.
-
Countable inductive limits
… established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its own accord, but is also useful in solving problems and proving …
-
Representation Learning beyond Semantic Similarity: Character-aware and Function-specific Approaches
… meaning obtain similar representations in a vector space constructed for this purpose. This established methodology excels for morphologically-simple languages such as English, and in data-rich settings. However, several useful lexical relations such as entailment or selectional preference, …
-
An introduction to the theory of quantum groups
… framework. This background material includes vector spaces, algebras and coalgebras, bialgebras, Hopf algebras, and Lie algebras. The understanding gained from these subjects is then used to explore some of the more basic, albeit important, quantum groups. The thesis ends with an indication of …
-
Álgebra de corpos finitos aplicada à teoria da codificação: estudo do codificador BCH.
… integers, polynomial rings, Galois fields, and vector spaces. Next, we’ll be introduced the linear block codes and cyclic codes, and ultimately a special class of cyclic codes known as BCH.
-
Geometry Of Quivers
… These representations consist of vector spaces and linear transformations. We explore some the connections between quivers and geometric structures. To begin, we consider a theorem that says every projective variety can be considered as a quiver Grassmannian. The reasoning of the …
Page 1 of 4